Minimal classes and maximal class in \(p\)-groups

DOI10.1007/BF02808177zbMath0947.20015MaRDI QIDQ1293976

Avinoam Mann, Mercede Maj, Patrizia Longobardi

Publication date: 5 November 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

conjugacy classesnilpotence classes\(p\)-groupslower central series\(p\)-groups of maximal classdegrees of commutativitylower central factorsbreadthsmetabelian CF-groupsminimal classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14)

Related Items (4)

Groups with few class sizes and the centraliser equality subgroup. ⋮ The breadth-degree type of a finite \(p\)-group ⋮ Groups where the centers of the irreducible characters form a chain. II ⋮ Some unsolvable conjectures in finite \(p\)-groups

Cites Work

• Extreme elements of finite \(p\)-groups
• On a special class of \(p\)-groups
• The Dilworth number of subgroup lattices
• Nilpotent groups with lower central factors of minimal ranks
• Some p-groups of Frobenius and extra-special type
• On \(p\)-groups of maximal class. II
• On the order of \(p\)-groups of abundance zero
• The exact lower bound for the degree of commutativity of a \(p\)-group of maximal class
• Generation of p-groups by elements of bounded breadth
• SOME NORMALLY MONOMIAL p-GROUPS OF MAXIMAL CLASS AND LARGE DERIVED LENGTH
• Finite P-groups with unique maximal classes
• Minimal characters of p-groups
• Two problems on finite groups with k conjugate classes
• Endliche Gruppen I
• Conjugacy classes in finite groups

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